What is the gradient of the straight line through the points \(R(4,0)\) and \(S( - 2,1)\)?
\[\frac{1}{6}\]
\[\frac{2}{3}\]
\[- \frac{1}{6}\]
What is the gradient of the straight line through the points \(A(6,2)\) and \(B(4, - 1)\)?
\[\frac{3}{2}\]
\[\frac{1}{2}\]
Find the midpoint of \(A( - 7,4)\) and \(B(3, - 2)\).
\[( - 2,3)\]
\[( - 2,1)\]
\[( - 5,1)\]
Find the equation of the straight line parallel to \(2y = 3x - 7\) and passing through \((0.5, - 1)\).
\[4y = 6x - 7\]
\[4y = 6x + 7\]
\[2y = 6x - 5\]
Calculate the distance between \(A( - 2, - 3)\) and \(B(3, - 4)\).
\[\sqrt {74}\]
\[\sqrt {26}\]
\[\sqrt {40}\]
A straight line which passes through the points A(-1, 3) and B(k, 4) has a gradient of \(\frac{5}{4}\) What is the value of k?
\[-\frac{1}{5}\]
\[\frac{1}{5}\]
\[\frac{9}{5}\]
What is the gradient of the line with equation \(3y - 7x + 4 = 0\)?
\[- \frac{7}{3}\]
\[\frac{7}{3}\]
\[\frac{3}{7}\]
What is the gradient of the line with equation \(3x + 2y = 5\)?
\[- \frac{2}{3}\]
\[\frac{5}{2}\]
\[- \frac{3}{2}\]
A line perpendicular to the \(x\) axis has an equation in which of the following forms?
\(y = kx\) (\(k\) is a constant)
\(y = k\) (\(k\) is a constant)
\(x = k\) (\(k\) is a constant)
A line with equation \(y = mx + c\) is perpendicular to a line with equation \(y = px + q\) if:
\[p = - \frac{1}{m}\]
\[p = \frac{1}{m}\]
\[p = - m\]